DIFFERENTIAL TRANSFORMATION METHOD FOR SOLVING FUZZY FRACTIONAL HEAT EQUATIONS

Ghazanfari, Bahman; Ebrahimi, Parvin

Manuscript ID : 521883 Visit : 87 Page: 81 - 89

Article Type: Original Research

DIFFERENTIAL TRANSFORMATION METHOD FOR SOLVING FUZZY FRACTIONAL HEAT EQUATIONS

Subject Areas : International Journal of Mathematical Modelling & Computations

Bahman Ghazanfari ¹ ( Lorestan university Iran, Islamic Republic of Assist. Prof. in Appl. Math.Department of Mathematics )
Parvin Ebrahimi ² ( )

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2015-03-21

Keywords: fuzzy fractional heat, Differential transformation method, fuzzy Caputo's derivative,

Abstract :

In this paper, the differential transformation method (DTM) was applied to solve fuzzy fractional heat equations. The elementary properties of this method were given. The approximate and exact solutions of these equations were calculated in the form of series with easily computable terms. The proposed method was also illustrated by some examples. The results revealed that DTM is a highly effective scheme for obtaining approximate analytical solutions of fuzzy fractional heat equations.

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Estimates for the Generalized Fourier-Bessel Transform in the Space L2
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An efficient method for the numerical solution of Helmholtz type general two point boundary value problems in ODEs
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Multistage Modified Sinc Method for Solving Nonlinear Dynamical Systems
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An Lp-Lq-version Of Morgan's Theorem For The Generalized Fourier Transform Associated with a Dunkl Type Operator
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DIFFERENTIAL TRANSFORMATION METHOD FOR SOLVING FUZZY FRACTIONAL HEAT EQUATIONS